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Why the Many-Worlds Interpretation of quantum mechanics needs more than Hilbert space structure

In Scientific Challenges to Common Sense Philosophy. Oxford: pp. 61-70 (2020)

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  1. Many-worlds interpretation of quantum mechanics.Lev Vaidman - 2008 - Stanford Encyclopedia of Philosophy.
    The Many-Worlds Interpretation (MWI) is an approach to quantum mechanics according to which, in addition to the world we are aware of directly, there are many other similar worlds which exist in parallel at the same space and time. The existence of the other worlds makes it possible to remove randomness and action at a distance from quantum theory and thus from all physics.
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  • The multiple-computations theorem and the physics of singling out a computation.Orly Shenker & Meir Hemmo - 2022 - The Monist 105 (1):175-193.
    The problem of multiple-computations discovered by Hilary Putnam presents a deep difficulty for functionalism (of all sorts, computational and causal). We describe in out- line why Putnam’s result, and likewise the more restricted result we call the Multiple- Computations Theorem, are in fact theorems of statistical mechanics. We show why the mere interaction of a computing system with its environment cannot single out a computation as the preferred one amongst the many computations implemented by the system. We explain why nonreductive (...)
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